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Finding the Third Proportional to 1,420,072 and 3,100,348

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Solution

The third proportional to 1,420,072 and 3,100,348 is: 6,768,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,072 : 3,100,348 = 3,100,348 : x
  2. Step 2: Convert to fraction form
    1,420,072/3,100,348 = 3,100,348/x
  3. Step 3: Cross multiply
    1,420,072x = 3,100,348 × 3,100,348
  4. Step 4: Simplify right side
    1,420,072x = 9,612,157,721,104
  5. Step 5: Solve for x
    x = 9,612,157,721,104/1,420,072
  6. Step 6: Final answer
    x = 6,768,781.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.